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Question
Assume X, Y, Z, W and P are matrices of order 2 × n, 3 × k, 2 × p, n × 3 and p × k respectively.
If n = p, then the order of the matrix is 7X - 5Z is ______.
Options
p × 2
2 × n
n × 3
p × n
Solution
If n = p, then the order of the matrix is 7X - 5Z is 2 × n.
Explanation:
Matrices X and Z have orders of 2 × n and 2 × p.
The matrix 7X – 5Z is defined if X and Z have the same order, since p = n both have an order of 2 × n.
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